786 citations · 2.4k across the 106 of their papers we have counts for
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A three-scale model of spatio-temporal bursting
Alessio Franci, Rodolphe Sepulchre
We study spatio-temporal bursting in a three-scale reaction diffusion equation organized by the winged cusp singularity. For large time-scale separation the model exhibits travelin…
A spectral characterization of nonlinear normal modes
Giuseppe Ilario Cirillo, Alexandre Mauroy, Ludovic Renson +2
This paper explores the relationship that exists between nonlinear normal modes (NNMs) defined as invariant manifolds in phase space and the spectral expansion of the Koopman opera…
An operator-theoretic approach to differential positivity
A. Mauroy, F. Forni, R. Sepulchre
Differentially positive systems are systems whose linearization along trajectories is positive. Under mild assumptions, their solutions asymptotically converge to a one-dimensional…